國立清華大學數學系
偏微分方程導論
Math 4280-00 (Spring 2011)
Introduction
to Partial Differential Equations
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Office: 綜三 609 |
Textbook
Walter Strauss: Partial
Differential Equations, An Introduction, Second
Edition, 2008
(First edition would be also fine!)
Course Description
This course is an introduction to the theory of partial
differential equations intended for students majoring in mathematics. Our aim
is to introduce basic concepts and techniques of partial differential
equations. Throughout the course we will illustrate by some important
mathematical models for problems from physics, such as wave propagation,
diffusion, potential theory, heat transfer, etc. Students registering to this
course should have some background knowledge on advanced calculus, linear algebra,
and elementary differential equations.
Topics to be covered include:
1. Where PDEs come from
2. Waves and Diffusions
3. Reflections and Sources
4. Boundary Problems
5. Fourier Series
6. Harmonic Functions
7. Green's identity and Green's Functions
8. Computation of Solutions
Attendance
Students are expected to attend every scheduled class. It is
the student's responsibility to keep informed of any announcements, syllabus
adjustments or policy changes made during scheduled classes.
Grading
Quizzes/Homework (25%): Homework assignments will be posted on http://www.math.nthu.edu.tw/~kchen/teaching/4280S11HW.htm.
Homework assignments will be mostly selected from the textbook. Some of them
will be collected and graded. Details are to be announced during the first week
of classes.
Exams (75%): There will be three exams, each worth 25% of the
course grade. Precise dates will be scheduled during the first week of classes.
Absence
from exams
You
should miss an exam only for the most compelling reasons and you should obtain
permission in advance (except in some extraordinary circumstances). If you miss
an exam for legitimate reasons, then it will be weighted to other exams. There
will be no make-up exam.